Proving Triangles Congruent (SSS, SAS, ASA, AAS)

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence stating that if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, the triangles are congruent.

Front

If two triangles have three equal sides, what can we conclude about them?

Back

The triangles are congruent by the SSS criterion.

Front

If two triangles have two sides equal and the angle between them equal, what can we conclude?

Back

The triangles are congruent by the SAS criterion.

Front

If two triangles have two angles equal and the side between them equal, what can we conclude?

Back

The triangles are congruent by the ASA criterion.

Front

If two triangles have two angles equal and a non-included side equal, what can we conclude?

Back

The triangles are congruent by the AAS criterion.

Front

Can two triangles be congruent if only one side is equal?

Back

No, at least two sides and the included angle or two angles and a side must be equal for the triangles to be congruent.

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence is important because it allows us to prove that two triangles are identical in shape and size, which is fundamental in solving geometric problems.